The Saxon Approach to Algebra 2 Actually Works If You Don't Fight It

Most people pick up Algebra 2 An Incremental Development expecting it to read like a traditional textbook with chapters and summaries. It doesn't. The book cycles through problem sets that repeatedly return to earlier topics without restating the rules each time. You're expected to remember what you learned three weeks ago and apply it to new problems. That's the whole design. It's not elegant. It works. The incremental part of the method means you're never allowed to master a single topic before moving forward. Each set mixes old material with new material in roughly a 70-30 split. After about six sets, the new content gets its own deeper dive, then it gets recycled again later at a higher difficulty level. The idea is spaced repetition without the spacing being obvious to the student. It's basically how the brain actually retains procedural knowledge, which is why the books have stayed in print since 1990.

What to Expect When You Start Using Algebra 2 An Incremental Development

The first few sets will feel slow. You'll think you've already mastered everything in Set 1 through Set 20 because you're coming into Algebra 2 with a Algebra 1 background. Don't skip ahead. The early sets in the Algebra 2 book revisit rational expressions, complex numbers, and polynomial factoring at a level that exposes gaps most students didn't know they had. I spent an afternoon on Set 3 working through complex number operations that looked simple but had subtle sign errors I kept making because I was reading too fast. The answer key is right there in the back. Use it after every set, not after every chapter, because there are no chapters. Work through one set per day. Maybe two on weekends if you're caught up. The book has about 140 sets. That's roughly six months at a steady pace. If you try to do three sets in one sitting you'll lose the spacing benefit and you'll burn out around Set 35. I've seen it happen. The book doesn't get harder in a steep way, it gets longer and more cumulative, and that's what catches people off guard.

The Problem Nobody Warns You About

The answer key only shows the final answer, not intermediate steps. For straightforward problems that's fine. When you hit something like solving a rational equation that requires factoring a cubic polynomial first, you'll get to an answer and have no idea where you went wrong. I ran into this around Set 67 working on radical equations with extraneous solutions. My answer didn't match the key and I couldn't spot the error by just checking the final result. The workaround was to rewrite the entire problem on a fresh sheet and work it backward from the answer key, substituting my solution back into the original equation to verify. That process exposed a sign error I'd made when clearing denominators. It added maybe ten minutes to that problem but it taught me something the key alone wouldn't have. Traditional Algebra 2 textbooks organize content by topic. You study quadratics for two weeks, then logs, then matrices. Saxon mixes them from day one. This means your first encounter with logarithmic equations in Set 80 will also include polynomial division and radical simplification because those are treated as permanent tools, not isolated units. Students used to the chapter model often find this disorienting at first. They want the textbook to tell them "this is what you need to know for this section." The Saxon book assumes you already know that and will look it up or figure it out from the mixed practice. The tradeoff is that you need a separate reference resource if you're truly stuck on the underlying concept. The book teaches through practice, not through exposition. I keep a used copy of the earlier Algebra 1 An Incremental Development volume handy for when I need to review foundational procedures that the Algebra 2 book assumes you still know. The later sets don't stop testing things you learned in Set 12.

Get the Full Details

Amazon.com: Saxon Algebra 2: An Incremental Development, 2nd Edition: 9780939798629: John H ...
Amazon.com: Saxon Algebra 2: An Incremental Development, 2nd Edition: 9780939798629: John H ...

Common Mistakes People Make With This Book

Skipping the odd-numbered problems and only doing the even ones is a waste. The odd problems in each set are usually slightly harder and they force you to apply the concept without the scaffold of a matching even problem. Another mistake is using a calculator for arithmetic instead of working through the steps. This book builds computational fluency as a side effect. If you plug everything into Desmos or a TI-84 you'll finish faster but you'll retain less. I've had students tell me they got through the entire book in eight weeks and still couldn't factor a quadratic by hand. That's not a failure of the method. That's a failure to follow the method. The third mistake is not checking answers. Every set has answers in the back. Checking them takes two minutes and it's the single most effective feedback loop the book provides. Without it you're just doing problems to pass time.

When This Approach Breaks Down

Incremental development works well for procedural math where repetition builds fluency. It's weaker for topics that require deep conceptual understanding, like proofs or the theoretical underpinnings of functions. The Saxon book covers these topics adequately but not deeply. If a student needs a rigorous treatment of function notation or limits, this book won't provide it. It also doesn't align perfectly with modern standardized test formats, so if you're using it primarily for SAT or ACT prep you should supplement with dedicated test prep materials. The book also doesn't include graphing technology integration. Modern Algebra 2 courses expect students to use graphing calculators or software to visualize functions. The Saxon approach is purely algebraic. You can certainly use a graphing tool alongside it, but the book itself doesn't guide you through that.

A Practical Work Schedule

Here's what I've seen work consistently. Pick a set each day. Do all the problems in order. Check your answers immediately. Write down any problems you got wrong in a separate notebook with a one-line note about why you missed it. Review that notebook every Sunday. At that pace you'll finish in about five to six months. If you fall behind, don't try to catch up by doing multiple sets per day. Just restart the daily rhythm. The spacing is what makes it work. The book costs around $35 to $45 new and you can find used copies for significantly less. The teacher edition with full worked solutions is useful if you're working through this alone and need the extra guidance on harder problems. I recommend getting it if possible, though it's not strictly necessary if you're disciplined about checking answers and keeping that error notebook.

Algebra 2: An Incremental Development : Saxon, John H., Jr.: Amazon.co.za: Books
Algebra 2: An Incremental Development : Saxon, John H., Jr.: Amazon.co.za: Books

Bottom Line

Algebra 2 An Incremental Development is not the most engaging math book you'll ever read. It's not visually appealing and it doesn't hold your hand. But it systematically builds procedural fluency through deliberate, spaced repetition, and that's something most other textbooks skip in favor of cleaner organization. If you commit to the daily set and actually check your answers, it will make you better at algebra. That's the whole promise, and it delivers on it.